The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 27
... gives the logarithm of their product ; and the difference of the logarithms , gives the logarithm of the quotient of the numbers : from the two pre- ceding logarithms , and the logarithm of 10 , which is 1 , a great many logarithms can ...
... gives the logarithm of their product ; and the difference of the logarithms , gives the logarithm of the quotient of the numbers : from the two pre- ceding logarithms , and the logarithm of 10 , which is 1 , a great many logarithms can ...
Page 29
... give the Logarithm sought , true to 8 , or 9 places ; and therefore it will be very easy to exa- mine any suspected Logarithm in the Tables . For the arrangement of Logarithms in a Table , the method of finding the Logarithm of any ...
... give the Logarithm sought , true to 8 , or 9 places ; and therefore it will be very easy to exa- mine any suspected Logarithm in the Tables . For the arrangement of Logarithms in a Table , the method of finding the Logarithm of any ...
Page 30
... give a na- tural number , that is , the product required . Whatever is carried from the decimal part of the Logarithm is to be added to the affirmative indices ; but subtracted from the negative . Likewise the in- dices must be added ...
... give a na- tural number , that is , the product required . Whatever is carried from the decimal part of the Logarithm is to be added to the affirmative indices ; but subtracted from the negative . Likewise the in- dices must be added ...
Page 50
... gives the other one . - Cor . 2. In every right - angled triangle , the two acute angles are 90 degrees , or to one right an- gle : therefore 90 - one acute angle , gives the other . THEO , VI PL . 1. fig . 24 . If in any two triangles ...
... gives the other one . - Cor . 2. In every right - angled triangle , the two acute angles are 90 degrees , or to one right an- gle : therefore 90 - one acute angle , gives the other . THEO , VI PL . 1. fig . 24 . If in any two triangles ...
Page 72
... chord of 60 ° from B , de- scribe the arced ; which distance e d , measured on the same line of chords , gives the quantity of the angle BAC , as required ; this is plain from def . 17 . PROB . XVIII . PL . 3. fig . 6 72 GEOMETRICAL.
... chord of 60 ° from B , de- scribe the arced ; which distance e d , measured on the same line of chords , gives the quantity of the angle BAC , as required ; this is plain from def . 17 . PROB . XVIII . PL . 3. fig . 6 72 GEOMETRICAL.
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Common terms and phrases
acres altitude Answer arch azimuth base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-tang column compasses contained decimal difference distance line divided divisions draw east Ecliptic edge feet field-book figures fore four-pole chains geom given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied natural co-sine natural sine needle Nonius number of degrees object observed off-sets opposite parallel parallelogram pegs perches perpendicular plane pole pole star Portmarnock PROB protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect Sextant side sights square station stationary distance subtract Sun's survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 38 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 197 - RULE. From half the sum of the three sides subtract each side severally.
Page 106 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.